SSK in the presence of improper Gaussian noise: Optimal receiver design and error analysis

In this paper, we have designed an optimal detector for the space shift keying (SSK) receiver in the presence of the improper Gaussian noise (IGN) with multiple antennas mounted the transmitter and receiver nodes. We have analyzed this optimal detector by finding the error probability and comparing the performance of this receiver with the suboptimal one which uses the traditional maximum-likelihood (ML) detector to detect the IGN as if it is a proper Gaussian noise (PGN). The analytical expressions obtained can be used under general complex fading channels. The analytically derived results have been validated using the simulation, where it is demonstrated that the importance of using the optimal receiver, in addition to the importance of considering the IGN over the (PGN) at the receiver.